Calendar: 1883-1884 Page 620

616 GENERAL LITERATURE AND SCIENCE י Division Icjcbra Find within of second the greatest and least times that light can occupy in coming from Jupiter to the Earth the orbits of Jupiter and Ejrth about the Sun being taken to be circles in one plane of radii 92 and 476 million miles respectively and the velocity of light 186 000 miles second The side of square field is 30 po yds ft in find its area in acres roods poles &c If leads to circulating decimal of figures iiamely 'αβγ ναβ'γ ν' prove that β β' &c ν -f ν' χ Simplify χΛ2 V2 yV-f Interpret a5 a0 ai a-3 ί shewing that your interpretations are consistent with the laws of indices Examine the conditions under which ax2 Ihxy fyx ע can by linear transformation be changed into XT and if the condition be satisfied find and Prove that £2 c2 a2 c2 02 c2 2abc י and that -ry If vx ן be expanded in powers of prove that the coefficients equidistant from the beginning and end of the series are equal